1168541640 has 320 divisors, whose sum is σ = 4561603200. Its totient is φ = 262766592.

The previous prime is 1168541623. The next prime is 1168541651. The reversal of 1168541640 is 461458611.

1168541640 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 5 + 4 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1168541595 and 1168541604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1519176 + ... + 1519944.

It is an arithmetic number, because the mean of its divisors is an integer number (14255010).

Almost surely, 2^1168541640 is an apocalyptic number.

1168541640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1168541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280801600).

1168541640 is an abundant number, since it is smaller than the sum of its proper divisors (3393061560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1168541640 is a wasteful number, since it uses less digits than its factorization.

1168541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1168541640 is about 34183.9383336678. The cubic root of 1168541640 is about 1053.2902504232.

The spelling of 1168541640 in words is "one billion, one hundred sixty-eight million, five hundred forty-one thousand, six hundred forty".